I'm no one important that someone would target specifically, but I try to anonymize, obfuscate and fragment my digital footprint as much as I can -- as a matter of principle.. I can't become invisible, but I can make my digital footprints commercially unusable.
I can't stop my cell company from gathering my IMEI, but that doesn't mean they have to know any other device identifiers. Meanwhile, most other apps need not know my IMEI, for example. However, if I buy a phone from Google online, the worst possible company will have the most possible device data to work with from the very start, and only bad things could come from that. The Bluetooth MAC (until randomization is supported) and NFC identifiers seem the most problematic, but there are many more knowledgeable people on here than me who may know better.
Maybe I'm not accomplishing anything for the effort, but I buy retail and pay cash, so the retailer won't have any of my personal information or device identifiers to sell and Google doesn't know who bought a particular piece of their hardware. From there, I try my best to keep it that way:
I mainly use privacy-respecting/open source apps/services, and wherever I can't I compartmentalize into isolated, inert user profiles with maximum app restrictions and anonymous logins so that it's just plain hard for any one bad actor to gain a very complete or persistent picture. To help with this, my VPN is always on, and periodically (or any time I do something personally identifying) I flush the caches, shut off that profile, or whatever and relog to a different time zone.
I can't be perfect, but I don't have to be. I just have to make my data commercially unviable. Maybe the incremental benefit of hiding who owns the phone hardware is minimal, but it's also not that hard for me to pay cash in person, so I pocket hardware anonymity as part of a layered defense.